A computer scientist is investigating the usefulness of two
A computer scientist is investigating the usefulness of two different design languages in improving programming tasks. Twelve expert programmers, familiar with both languages, are asked to code a standard function in both languages, and the time (in minutes) is recorded. The data follow:
(a) Is the assumption that the difference in coding time is normally distributed reasonable?
(b) Find a 95% confidence interval on the difference in mean coding times. Is there any indication that one design language is preferable?
| Programmer | Design Language 1 | Design Language 2 |
| 1 | 17 | 18 |
| 2 | 15 | 14 |
| 3 | 21 | 18 |
| 4 | 14 | 11 |
| 5 | 18 | 23 |
| 6 | 24 | 21 |
| 7 | 16 | 10 |
| 8 | 14 | 13 |
| 9 | 21 | 19 |
| 10 | 23 | 24 |
| 11 | 13 | 15 |
| 12 | 18 | 20 |
Solution
